Question

A can of green beans is in the shape of a cylinder that has a diameter of 8 centimeters and a height of 14 cm. If the can is made out of aluminum, how many square centimeters of aluminum was used to make the can?

Answer 1

To find the surface area of the can, use the formula SA = 2πr² + 2πrh, where r is the radius of the base and h is the height of the cylinder.

Plug in the values and approximate π as 3.14 to find that approximately 452.16 square centimeters of aluminum were used to make the can.

Step-by-step explanation:

To find the amount of aluminum used to make the can, we need to calculate the surface area of the cylinder.

The formula for the surface area of a cylinder is given by:

SA = 2πr² + 2πrh

Where r is the radius of the base of the cylinder and h is the height.

Given that the diameter of the can is 8 cm, we can calculate the radius by dividing the diameter by 2, so r = 4 cm.

Plugging in the values, we get:

SA = 2π(4 cm)² + 2π(4 cm)(14 cm)

SA = 32π + 112π

≈ 144π

Using an approximation of π as 3.14, we can calculate the surface area:

SA ≈ 144 * 3.14

≈ 452.16 cm²

So, approximately 452.16 square centimeters of aluminum were used to make the can.